The question provides contradictory information for a single circle (if radius is 8 cm, diameter should be 16 cm; if diameter is 10 mm, radius should be 5 mm).

Here are the solutions to your math problems. 3. Calculate the circumference of a circle with the radius 8 cm and diameter 10 mm. The question provides contradictory information for a single circle (if radius is 8 cm, diameter should be 16 cm; if diameter is 10 mm, radius should be 5 mm). Therefore, we will calculate the circumference for two separate scenarios: Scenario 1: Using radius r = 8 cm Step 1: The formula for the circumference of a circle using radius is C = 2 r. Step 2: Substitute the given radius. C = 2 × × 8 cm Step 3: Calculate the circumference. C = 16 cm C ≈ 16 × 3.14159 cm C ≈ 50.27 cm The circumference is 16 cm or approximately 50.27 cm. Scenario 2: Using diameter d = 10 mm Step 1: Convert the diameter to centimeters for consistency (1 cm = 10 mm). d = 10 mm = 1 cm Step 2: The formula for the circumference of a circle using diameter is C = d. Step 3: Substitute the given diameter. C = × 1 cm Step 4: Calculate the circumference. C = cm C ≈ 3.14159 cm C ≈ 3.14 cm The circumference is cm or approximately 3.14 cm. 4. Calculate the volume of a cylinder with base 25 cm^2 and height 20 cm. Step 1: The formula for the volume of a cylinder is V = Base Area × height. Step 2: Substitute the given base area and height. V = 25 cm^2 × 20 cm Step 3: Calculate the volume. V = 500 cm^3 The volume of the cylinder is 500 cm^3. 5. Calculate the mode, median and mean of 133, 138, 124, 129, 133, 127, 138, 136. Step 1: Order the data set from least to greatest. 124, 127, 129, 133, 133, 136, 138, 138 There are n=8 data points. Step 2: Calculate the mode. The mode is the value that appears most frequently. In this set, 133 appears twice and 138 appears twice. The mode is 133 and 138. Step 3: Calculate the median. Since there is an even number of data points (n=8), the median is the average of the two middle values (the 4th and 5th values). The 4th value is 133. The 5th value is 133. Median = (133 + 133)/(2) = (266)/(2) = 133 The median is 133. Step 4: Calculate the mean. The mean is the sum of all values divided by the number of values. Sum = 124 + 127 + 129 + 133 + 133 + 136 + 138 + 138 = 1058 Mean = Sumn = (1058)/(8) = 132.25 The mean is 132.25. Last free one today — make it count tomorrow, or type /upgrade for unlimited.